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If x=2at^3,y=at^4, then (d^2y)/(dx^2) at...

If `x=2at^3,y=at^4`, then `(d^2y)/(dx^2)` at t=2 is

A

4

B

2a

C

`1/(2a)`

D

`-1/(2a)`

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
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  5. If x=2at^3,y=at^4, then (d^2y)/(dx^2) at t=2 is

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  6. If x=acostheta,y=bsintheta , then (d^2y)/(dx^2) when theta=pi/4 is gi...

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  7. If y = x^(3)log ( log (1+x) ) ,theny''(0) =

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  8. If x=e^t sin t , y=e^t cos t, t is a parameter , then (d^2y)/(dx^2) at...

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  9. If x=3 cos t and y=4 sin t, then (d^2y)/(dx^2) at the point (x0,y0)=(3...

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  11. If y=(a^(cos^-1x))/(1+a^(cos^-1x))andz=a^(cos^-1x),then (dy)/(dx)=

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  12. The first derivative of the function [cos^(-1)(sin sqrt((1+x)/2))+x^x]...

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  13. Let g(x) be the inverse of the function f(x), and f'(x)=1/(1+x^3) then...

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  14. Let f(x)=tan^-1 x. Then, f'(x)+f''(x) is = 0, when x is equal to

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  16. If 2y=sin^-1(x+5y),then,(dy)/(dx) is equal to

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  17. Let f:R to R be a function such that f(x+y)=f(x)+f(y)"for all", x,y in...

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  18. If x^2+y^2=(t+1/t) and x^4+y^4=t^2+1/t^2, then x^3y(dy)/(dx)=

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  19. Let f1(x)=e^x,f2(x)=e^(f1(x)),"........",f(n+1)(x)=e^(fn(x)) for all n...

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  20. Let f: R to R be a dIfferentiable function . If f is even, then f'(0) ...

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